Question 6.121: Determine the horizontal and vertical components of force at...
Determine the horizontal and vertical components of force at pins A and C of the two-member frame.
Member AB:
⤹+\Sigma M_A=0 ; \quad-750(2)+B_y(3)=0B_y=500 \mathrm{~N}
Member BC:
⤹+\Sigma M_C=0 ; \quad-1200(1.5)-900(1)+B_x(3)-500(3)=0B_x=1400 \mathrm{~N}
+↑ \Sigma F_y=0 ; \quad A_y-750+500=0A_y=250 \mathrm{~N}
Member AB:
\overset{+}\longrightarrow {} \Sigma F_x=0 ; \quad-A_x+1400=0A_x=1400 \mathrm{~N}=1.40 \mathrm{kN}
Member BC:
\overset{+}\longrightarrow {} \Sigma F_x=0 ; \quad C_x+900-1400=0C_x=500 \mathrm{~N}
+↑ \Sigma F_y=0 ; \quad-500-1200+C_y=0C_y=1700 \mathrm{~N}=1.70 \mathrm{kN}
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